Applications of singular connections in symplectic and almost complex geometry
Complex Variables
2016-12-06 v1
Abstract
In this paper, we give two direct applications of the theory of singular connections developped by Harvey-Lawson [10]. The first one is a version of Lelong-Poincar\'e formula for vector bundle over an almost complex manifold. The second is a convergence theorem for divisors associated to symplectic submanifolds constructed by Auroux in [2]. The case of hypersurfaces was done by Donaldsson in [4].
Keywords
Cite
@article{arxiv.1612.01374,
title = {Applications of singular connections in symplectic and almost complex geometry},
author = {Emmanuel Mazzilli and Alexandre Sukhov},
journal= {arXiv preprint arXiv:1612.01374},
year = {2016}
}
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22 pages